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Mirrors > Home > ILE Home > Th. List > 2false | Unicode version |
Description: Two falsehoods are equivalent. (Contributed by NM, 4-Apr-2005.) (Revised by Mario Carneiro, 31-Jan-2015.) |
Ref | Expression |
---|---|
2false.1 | |
2false.2 |
Ref | Expression |
---|---|
2false |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2false.1 | . . 3 | |
2 | 1 | pm2.21i 607 | . 2 |
3 | 2false.2 | . . 3 | |
4 | 3 | pm2.21i 607 | . 2 |
5 | 2, 4 | impbii 124 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia2 105 ax-ia3 106 ax-in2 577 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: bianfi 888 bifal 1297 dfnul2 3253 dfnul3 3254 rab0 3273 iun0 3734 0iun 3735 0xp 4438 cnv0 4747 co02 4854 0er 6163 bdnth 10625 bdnthALT 10626 |
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